$l i m_{x \to 5} \frac{x^{2} - 25}{x - 5}$

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Solution

${lim}_{x \to 5} \frac{x^{2} - 25}{x - 5}$
$= {lim}_{x \to 5} \frac{(x - 5) (x + 5)}{x - 5}$
$= {lim}_{x \to 5} (x + 5) = 5 + 5 = 10$

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